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Finding the Fourth Proportional to 196.61, 271.35 and 122.90

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Solution

The fourth proportional to 196.61, 271.35 and 122.90 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 271.35 = 122.90 : x
  2. Step 2: Convert to fraction form
    196.61/271.35 = 122.90/x
  3. Step 3: Cross multiply
    196.61x = 271.35 × 122.90
  4. Step 4: Simplify right side
    196.61x = 33,347.56
  5. Step 5: Solve for x
    x = 33,347.56/196.61
  6. Step 6: Final answer
    x = 169.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.